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Finding the Fourth Proportional to 2,446.56, 3,669.36 and 714.78

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Solution

The fourth proportional to 2,446.56, 3,669.36 and 714.78 is: 1,072.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.56 : 3,669.36 = 714.78 : x
  2. Step 2: Convert to fraction form
    2,446.56/3,669.36 = 714.78/x
  3. Step 3: Cross multiply
    2,446.56x = 3,669.36 × 714.78
  4. Step 4: Simplify right side
    2,446.56x = 2,622,785.14
  5. Step 5: Solve for x
    x = 2,622,785.14/2,446.56
  6. Step 6: Final answer
    x = 1,072.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.